"Why should I climb the look out..."
See in text (Text of the Poem)
One reading of this line would be, "Why should I look elsewhere for happiness?" This could mean looking out for a new husband, making new friends, or going on an adventure, such as climbing to a lookout. This line also suggests that the speaker wants to maintain physical and emotional proximity to her husband. "Why should I climb the look out?" then becomes "Why should I ever leave you behind?"